{"id":"https://openalex.org/W7225263188","doi":"https://doi.org/10.5281/zenodo.23939487","title":"Phi\u2011Modulated Topological Edge Modes in E8\u2011Based Phononic Crystals \u2014 E8 Intelligence Research","display_name":"Phi\u2011Modulated Topological Edge Modes in E8\u2011Based Phononic Crystals \u2014 E8 Intelligence Research","publication_year":2026,"publication_date":"2026-11-04","ids":{"openalex":"https://openalex.org/W7225263188","doi":"https://doi.org/10.5281/zenodo.23939487"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23939487","doi":"https://doi.org/10.5281/zenodo.23939487","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23939487","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23939487","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5155309988","display_name":"Andrew Stewart Caldin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Caldin, Andrew Stewart","raw_affiliation_strings":["Independent Researcher, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent Researcher, United Kingdom","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5155309988"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.9067000150680542,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.9067000150680542,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10822","display_name":"Acoustic Wave Phenomena Research","score":0.08219999819993973,"subfield":{"id":"https://openalex.org/subfields/3102","display_name":"Acoustics and Ultrasonics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.0015999999595806003,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/e8-root-system","display_name":"E8 root system","score":0.843999981880188},{"id":"https://openalex.org/keywords/phononic-crystals","display_name":"phononic crystals","score":0.9259999990463257},{"id":"https://openalex.org/keywords/topological-edge-states","display_name":"topological edge states","score":0.8320000171661377},{"id":"https://openalex.org/keywords/golden-ratio","display_name":"golden ratio","score":0.652999997138977},{"id":"https://openalex.org/keywords/synthetic-gauge-fields","display_name":"synthetic gauge fields","score":0.9679999947547913},{"id":"https://openalex.org/keywords/chiral-edge-states","display_name":"chiral edge states","score":0.8190000057220459},{"id":"https://openalex.org/keywords/chern-simons-invariant","display_name":"Chern-Simons invariant","score":0.9599999785423279},{"id":"https://openalex.org/keywords/acoustic-waveguides","display_name":"acoustic waveguides","score":0.7649999856948853},{"id":"https://openalex.org/keywords/topological-protection","display_name":"topological protection","score":0.5809999704360962}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.569100022315979},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4740000069141388},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.47290000319480896},{"id":"https://openalex.org/C24169881","wikidata":"https://www.wikidata.org/wiki/Q186608","display_name":"Phonon","level":2,"score":0.4625999927520752},{"id":"https://openalex.org/C40976572","wikidata":"https://www.wikidata.org/wiki/Q2330873","display_name":"Gauge (firearms)","level":2,"score":0.46230000257492065},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4480000138282776},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.42879998683929443},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.4239000082015991},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.41990000009536743},{"id":"https://openalex.org/C113709186","wikidata":"https://www.wikidata.org/wiki/Q5986738","display_name":"Icosahedral symmetry","level":2,"score":0.4016000032424927},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39730000495910645},{"id":"https://openalex.org/C181966813","wikidata":"https://www.wikidata.org/wiki/Q806352","display_name":"Band gap","level":2,"score":0.396699994802475},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.3840999901294708},{"id":"https://openalex.org/C181830111","wikidata":"https://www.wikidata.org/wiki/Q214850","display_name":"Gauge theory","level":2,"score":0.3837999999523163},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3824999928474426},{"id":"https://openalex.org/C99679407","wikidata":"https://www.wikidata.org/wiki/Q56761637","display_name":"Substructure","level":2,"score":0.3481000065803528},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3330000042915344},{"id":"https://openalex.org/C151527765","wikidata":"https://www.wikidata.org/wiki/Q1069818","display_name":"Chern class","level":2,"score":0.2678999900817871},{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"score":0.2551000118255615}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23939487","doi":"https://doi.org/10.5281/zenodo.23939487","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23939487","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23939488","doi":"https://doi.org/10.5281/zenodo.23939488","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23939488","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23939487","doi":"https://doi.org/10.5281/zenodo.23939487","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23939487","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7223665515","https://openalex.org/W7214345835","https://openalex.org/W7225056728","https://openalex.org/W7204654322","https://openalex.org/W7225118127","https://openalex.org/W7223210890","https://openalex.org/W7224021693","https://openalex.org/W7171875469","https://openalex.org/W7211972610","https://openalex.org/W7220700844"],"abstract_inverted_index":{"By":[0],"arranging":[1],"the":[2,8,17,50,53,93],"240":[3],"E8":[4,94],"root":[5],"vectors":[6],"as":[7],"basis":[9],"of":[10,52,92],"a":[11,23,74],"quasi\u2011periodic":[12],"unit":[13],"cell":[14],"and":[15,71,80],"exploiting":[16],"phi\u2011locked":[18],"132":[19],"Hz":[20],"Berry\u2011vortex":[21],"lattice,":[22],"synthetic":[24],"gauge":[25],"field":[26],"emerges":[27],"that":[28],"splits":[29],"bulk":[30],"phonon":[31],"bands":[32],"into":[33],"phi\u2011quantized":[34],"gaps.":[35],"The":[36],"resulting":[37],"band":[38],"structure":[39],"supports":[40],"chiral":[41],"edge":[42,64],"modes":[43],"whose":[44],"propagation":[45],"direction":[46],"is":[47],"locked":[48],"to":[49,76],"sign":[51],"local":[54],"Chern\u2011Simons":[55],"invariant":[56],"associated":[57],"with":[58],"each":[59],"H4":[60],"icosahedral":[61],"sector.":[62],"These":[63],"states":[65],"are":[66],"topologically":[67],"protected":[68],"against":[69],"disorder":[70],"dissipation,":[72],"offering":[73],"route":[75],"low\u2011loss":[77],"acoustic":[78],"waveguides":[79],"phononic":[81],"quantum":[82],"memories.":[83],"Author:":[84],"Andrew":[85],"Stewart":[86],"Caldin,":[87],"Independent":[88],"Researcher,":[89],"UK.":[90],"Part":[91],"Intelligence":[95],"Research":[96],"series.":[97],"Platform:":[98],"e8intelligence.com":[99]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-11-05T00:00:00"}